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Scale 1695: "Phrodyllic"
Bracelet Diagram
Tonnetz Diagram
Common Names
- Zeitler
- Phrodyllic
Analysis
| Cardinality | 8 (octatonic) |
|---|---|
| Pitch Class Set | {0,1,2,3,4,7,9,10} |
| Forte Number | 8-13 |
| Rotational Symmetry | none |
| Reflection Axes | none |
| Palindromic | no |
| Chirality | yes enantiomorph: 3885 |
| Hemitonia | 5 (multihemitonic) |
| Cohemitonia | 3 (tricohemitonic) |
| Imperfections | 3 |
| Modes | 7 |
| Prime? | no prime: 735 |
| Deep Scale | no |
| Interval Vector | 556453 |
| Interval Spectrum | p5m4n6s5d5t3 |
| Distribution Spectra | <1> = {1,2,3} <2> = {2,3,4,5} <3> = {3,4,5,6} <4> = {4,5,6,7,8} <5> = {6,7,8,9} <6> = {7,8,9,10} <7> = {9,10,11} |
| Spectra Variation | 2.5 |
| Maximally Even | no |
| Myhill Property | no |
| Balanced | no |
| Ridge Tones | none |
| Coherence | no |
| Heliotonic | no |
Modes
Modes are the rotational transformation of this scale. Scale 1695 can be rotated to make 7 other scales. The 1st mode is itself.
| 2nd mode: Scale 2895 |  | Aeoryllic | |||
| 3rd mode: Scale 3495 |  | Banyllic | |||
| 4th mode: Scale 3795 |  | Epothyllic | |||
| 5th mode: Scale 3945 |  | Lydyllic | |||
| 6th mode: Scale 1005 |  | Radyllic | |||
| 7th mode: Scale 1275 |  | Stagyllic | |||
| 8th mode: Scale 2685 |  | Ionoryllic |
Prime
The prime form of this scale is Scale 735
| Scale 735 |  | Sylyllic |
Complement
The octatonic modal family [1695, 2895, 3495, 3795, 3945, 1005, 1275, 2685] (Forte: 8-13) is the complement of the tetratonic modal family [75, 705, 1545, 2085] (Forte: 4-13)
Inverse
The inverse of a scale is a reflection using the root as its axis. The inverse of 1695 is 3885
| Scale 3885 |  | Styryllic |
Enantiomorph
Only scales that are chiral will have an enantiomorph. Scale 1695 is chiral, and its enantiomorph is scale 3885
| Scale 3885 | | Styryllic |
Transformations:
| T0 | 1695 | T0I | 3885 | |||||
| T1 | 3390 | T1I | 3675 | |||||
| T2 | 2685 | T2I | 3255 | |||||
| T3 | 1275 | T3I | 2415 | |||||
| T4 | 2550 | T4I | 735 | |||||
| T5 | 1005 | T5I | 1470 | |||||
| T6 | 2010 | T6I | 2940 | |||||
| T7 | 4020 | T7I | 1785 | |||||
| T8 | 3945 | T8I | 3570 | |||||
| T9 | 3795 | T9I | 3045 | |||||
| T10 | 3495 | T10I | 1995 | |||||
| T11 | 2895 | T11I | 3990 |
Nearby Scales:
These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.
| Scale 1693 |  | Dogian | ||
| Scale 1691 |  | Kathian | ||
| Scale 1687 |  | Phralian | ||
| Scale 1679 |  | Kydian | ||
| Scale 1711 |  | Adonai Malakh | ||
| Scale 1727 |  | Sydygic | ||
| Scale 1759 |  | Pylygic | ||
| Scale 1567 |  | |||
| Scale 1631 |  | Rynyllic | ||
| Scale 1823 |  | Phralyllic | ||
| Scale 1951 |  | Marygic | ||
| Scale 1183 |  | Sadian | ||
| Scale 1439 |  | Rolyllic | ||
| Scale 671 |  | Stycrian | ||
| Scale 2719 |  | Zocryllic | ||
| Scale 3743 |  | Thadygic |
This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Bibliography